Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} (a) z = (3, -4, 8) Z = S1 + - (18, - ) 59 (b) V = V = S1 + (c) w = (8, -9, 19) W3= S, + S2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 27E: Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)
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Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)
S = {(2, -1, 3), (5, 0, 4)}
(a)
z = (3, -4, 8)
Z =
S1 +
S2
ca) v- (10, - 4)
59
(b)
V =
V =
S1 +
(c)
W =
(8, -9, 19)
W =
S1 +
(d)
u = (3, 1, -1)
», + (
u =
S1
S2
Transcribed Image Text:Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, -1, 3), (5, 0, 4)} (a) z = (3, -4, 8) Z = S1 + S2 ca) v- (10, - 4) 59 (b) V = V = S1 + (c) W = (8, -9, 19) W = S1 + (d) u = (3, 1, -1) », + ( u = S1 S2
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